Average Error: 0.0 → 0.2
Time: 20.4s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r37517 = x;
        double r37518 = y;
        double r37519 = 1.0;
        double r37520 = r37518 - r37519;
        double r37521 = z;
        double r37522 = r37520 * r37521;
        double r37523 = r37517 - r37522;
        double r37524 = t;
        double r37525 = r37524 - r37519;
        double r37526 = a;
        double r37527 = r37525 * r37526;
        double r37528 = r37523 - r37527;
        double r37529 = r37518 + r37524;
        double r37530 = 2.0;
        double r37531 = r37529 - r37530;
        double r37532 = b;
        double r37533 = r37531 * r37532;
        double r37534 = r37528 + r37533;
        return r37534;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r37535 = x;
        double r37536 = y;
        double r37537 = 1.0;
        double r37538 = r37536 - r37537;
        double r37539 = z;
        double r37540 = r37538 * r37539;
        double r37541 = r37535 - r37540;
        double r37542 = t;
        double r37543 = r37542 - r37537;
        double r37544 = cbrt(r37543);
        double r37545 = r37544 * r37544;
        double r37546 = a;
        double r37547 = r37544 * r37546;
        double r37548 = r37545 * r37547;
        double r37549 = r37541 - r37548;
        double r37550 = r37536 + r37542;
        double r37551 = 2.0;
        double r37552 = r37550 - r37551;
        double r37553 = b;
        double r37554 = r37552 * r37553;
        double r37555 = r37549 + r37554;
        return r37555;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.2

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \color{blue}{\left(\left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \sqrt[3]{t - 1}\right)} \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  4. Applied associate-*l*0.2

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \color{blue}{\left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)}\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  5. Final simplification0.2

    \[\leadsto \left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

Reproduce

herbie shell --seed 2019325 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))